What is the Greatest Common Factor of 96960 and 96980?

Greatest common factor (GCF) of 96960 and 96980 is 20.

GCF(96960,96980) = 20

We will now calculate the prime factors of 96960 and 96980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96960 and 96980.

How to find the GCF of 96960 and 96980?

We will first find the prime factorization of 96960 and 96980. After we will calculate the factors of 96960 and 96980 and find the biggest common factor number .

Step-1: Prime Factorization of 96960

Prime factors of 96960 are 2, 3, 5, 101. Prime factorization of 96960 in exponential form is:

96960 = 2⁶ × 3¹ × 5¹ × 101¹

Step-2: Prime Factorization of 96980

Prime factors of 96980 are 2, 5, 13, 373. Prime factorization of 96980 in exponential form is:

96980 = 2² × 5¹ × 13¹ × 373¹

Step-3: Factors of 96960

List of positive integer factors of 96960 that divides 96960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 101, 120, 160, 192, 202, 240, 303, 320, 404, 480, 505, 606, 808, 960, 1010, 1212, 1515, 1616, 2020, 2424, 3030, 3232, 4040, 4848, 6060, 6464, 8080, 9696, 12120, 16160, 19392, 24240, 32320, 48480

Step-4: Factors of 96980

List of positive integer factors of 96980 that divides 96960 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260, 373, 746, 1492, 1865, 3730, 4849, 7460, 9698, 19396, 24245, 48490

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96960 and 96980. The biggest common factor number is the GCF number.
So the greatest common factor 96960 and 96980 is 20.

Also check out the Least Common Multiple of 96960 and 96980